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To find the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse
Answer:
- check below for explanation.
explanation:
➢ Given coordinates:
- A( 1, 3 )
- B( 1, 6 )
- C( 4, 6 )
- D( 5, 2 )
➢ after a dilation with a scale factor of 1/2:
- A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
- B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
- C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
- D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)
➢ Plot the after dilation coordinates on the graph:
- check the image below:
